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Problem Set 8

# Problem Set 8 - MASSACHUSETTS INSTITUTE OF TECHNOLOGY...

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MASSACHUSETTS INSTITUTE OF TECHNOLOGY Department of Physics 8.02 Fall 2007 Turn in at your table during class labeled with your name and group (e.g. L02 12A) Problem Set 8 Due: Wednesday, October 31 st at class beginning (before 10:15/12:15) This problem set focuses on material from classes 18-20 (week 8). Textbook references can be found at the top of the summaries from these three days. Warm Up Problem 1: Charges in a Uniform Field An electron with velocity ˆ ˆ x y v v + i j moves through a uniform magnetic field ˆ ˆ x y B B + i j (a) Find the magnitude of the force on the electron. (b) Repeat your calculation for a proton having the same velocity. Problem 2: Power Line A horizontal power line carries a current of I from south to north. Earth's magnetic field ( B Earth = 62.1 μT) is directed toward the north and is inclined downward at an angle θ to the horizontal. Find the magnitude of the magnetic force on a length L of the line due to Earth's field. Please also calculate a value numerically for I = 3000 A, θ = 78.0º and L = 100 m, since it’s useful to think about real world numbers. Problem 3: Triangular Loop A current loop, carrying a current I , is in the shape of a right triangle with sides 30, 40, and 50 cm. The loop is in a uniform magnetic field B whose direction is parallel to the current in the 50 cm side of the loop. Find the magnitude of (a) the magnetic dipole moment of the loop in amperes-square meters; and (b) the torque on the loop. PS08-1

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